129826000 has 80 divisors (see below), whose sum is σ = 316854720. Its totient is φ = 51446400.

The previous prime is 129825973. The next prime is 129826001. The reversal of 129826000 is 628921.

It is a happy number.

129826000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 129826000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129826001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277767 + ... + 278233.

It is an arithmetic number, because the mean of its divisors is an integer number (3960684).

Almost surely, 2^129826000 is an apocalyptic number.

129826000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

129826000 is an abundant number, since it is smaller than the sum of its proper divisors (187028720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129826000 is a wasteful number, since it uses less digits than its factorization.

129826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 129826000 is about 11394.1212912624. The cubic root of 129826000 is about 506.3535885163.

The spelling of 129826000 in words is "one hundred twenty-nine million, eight hundred twenty-six thousand".